A rectangular tank measuring 150 cm by 70 cm by 120 cm is 40% filled with water. 14 identical bottles of water that are completely filled are then scooped out from it. The water level drops to 40 cm. The remaining amount of water in the tank is later poured into a container that contains 30 litres of water. The water is then drained out through a tap found at the bottom of the container at 30 litres per minute.
- What is the capacity of each pail? Answer in litres.
- How long did it take to drain the water from the container completely? Answer in terms of min.
(a)
Original height of water in the tank
= 120 x 40%
= 48 cm
Difference in height when 14 bottles were scooped out
= 48 - 40
= 8 cm
Volume of 14 bottles
= 150 x 70 x 8
= 84000 cm
3 Volume of 1 bottle
= 84000 ÷ 14
= 6000 mℓ
= 6 ℓ
(b)
Remaining water in the tank
= 150 x 70 x 40
= 420000 cm
3 30 ℓ = 30000 mℓ
Total volume of water to drain
= 420000 + 30000
= 450000 mℓ
30 ℓ = 30000 mℓ
Time taken to drain the water
= 450000 ÷ 30000
= 15 min
Answer(s): (a) 6 ℓ; (b) 15 min